Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

sin and cos repeat every 360 (i.e. you can add 360 to your solution as many times as you like).

But tan repeats every 180.

If you’re working in radians, then sin(pi – x) = sin(x), etc.

Look at the range the question gives: if it’s in radians, give your answers in radians.

Ensure your calculator is correctly set to either radians or degrees mode.

If you have sin2, then make sure you get both positive and negative solution. Likewise for cos2 and tan2.

Make sure you write out enough solutions before you start manipulating: if you had sin(3x) = ½ for example and had the range 0 < x < 360, then you’d initially need to write values up to 1080 since you’re going to be dividing by 3.

(a) A pleasing majority of the candidates were able to differentiate these fractional powers correctly, but a sizeable group left the constant term on the end. They then put the derivative equal to zero. Solving the equation which resulted caused more problems as the equation contained various fractional powers. Some tried squaring to clear away the fractional powers, but often did not deal well with the square roots afterwards. There were many who expressed 6x-1/2 = 1/(6x1/2) and tended to get in a muddle after that. Those who took out a factor x1/2 usually ended with x = 0 as well as x = 4 and if it was not discounted, they lost an accuracy mark. Those who obtained the solution x = 4 sometimes neglected to complete their solution by finding the corresponding y value. Some weaker candidates did not differentiate at all in part (a), with some integrating, and others substituting various values into y.